Identify a, b and c based in the GENERAL FORM OF A QUADRATIC EQUATION: ax² + bx + c (= 0)ax² + bx + c = 0 x² + 3x - 10 = 0, so a = 1, b = 3 and c = -10Rule 1: List factors of c in pairs [Factors of 10 are (1 & 10) and (2 & 5)]Rule 2: The sign of c indicates if the factors are the same sign [when c is positive, (++ or --)] or different signs [when c is negative, (+-)] Rule 3: Choose the pair of factors that when subjected to these two rules, add to make b.Thus, in this example, the factors are different signs, with the largest factor being positive. 5 - 2 = 3, meaning the pairing of 5 & -2 abides by all 3 rules. Therefore(x + 5)(x - 2) = 0This means (x + 5) = 0 or (x - 2) = 0, so x = 2 or -5.CHECK BACK by substituting into the original equation.2² + 3(2) - 10 = 4 + 6 - 10 = 0 ✔5² + 3(-5) -10 = 25 - 15 -10 = 0 ✔

Solve 5x – 3 > 3x + 11

Related Maths GCSE answers

solve the quadratic equation: x^2-4x+3=0

The area of the cross section of a prism is 30 cm2 . The length of the prism is 25 cm. Work out the volume of the prism.

√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.

Solve the equation x^2 + 3x - 10 = 0

We're here to help

Company Information

Popular Requests

© MyTutorWeb Ltd 2013–2025

CLICK CEOP